查询词典 Norm

In this paper,we present a kind of symmetric modified finite volume element method for nonlinear parabolic problems,and give the optimal order energy norm error estimates for full discrete schemes.

本文对一类非线性抛物型方程提出对称修正有限体积元方法，给出能量模最优阶误差估计，并证明了对称修正有限体积元方法的解与一般有限体积元方法的解之差是一个更高阶项。

This multigrid solver is proven to provide the same accuracy as the finite element solution with respect to energy norm, and the computational complexity is suboptimal.

并证明用共轭梯度法作迭代算子时，该方法可以达到能量模意义下的最优，计算复杂度接近最优。

So three different method, in which, under the control of the energy norm error, the orders of the shape functions in the whole region, in some elements, and on some generalized nodes are increased respectively, are adopted to implement the p-version adaptive hierarchical Block Element Method.

文中采用整体升阶、单元升阶和广义结点升阶三种方法，在能量范数误差的控制下分别升高所有单元、部分单元和部分广义结点的形函数阶数，从而实现了岩体的p型自适应阶谱块体单元法。

By using the modal superposition method for the dynamic responses calculation of the linear oscillation system, a judging indictor in the energy norm form is given to determine the number of dominant modes on mode truncation .

针对用模态叠加法计算结构线性振动系统的响应，作模态截断的截尾模态阶数的取值，给出了能量范数形式的判断指标。

By using the modal superposition method for the dynamic responses calculation of the linear oscillation system, a judging indictor in the energy norm form is given to determine the number of dominant modes on mode truncation.

针对用模态叠加法计算结构线性振动系统的响应，作模态截断的截尾模态阶数的取值，给出了能量范数形式的判断指标。用于小湾拱坝结构的动力分析表明，需取 10阶以上的模态进行叠加

By re-constructing the system, the residual error dynamic characteristics of unknown input and fault signals including unknown disturbances and modelling error are obtained. The energy norm indexes of disturbance and fault signals of residual error are selected separately to reflect the restraint of disturbance and the sensitivity of faults, and the design of fault detection observer is described as an optimization problem.

通过对系统进行重构，获取了包括未知扰动、建模误差等未知输入信号和故障信号的残差动态特性，分别选取残差的扰动信号和故障信号的能量范数指标来体现其对扰动的抑制作用和对故障的灵敏性，并将故障检测观测器的设计描述为一个优化问题。

Since the modes of foundation are dense,by taking the criterion of energy response as mode truncation index,the energy norm and criterion are established to calculate the mode truncated order of dynamic compaction response.

由于地基模态密集，提出以能量响应信息的收敛作为模态截断的判断指标，建立能量范数和能量判据，计算强夯动力响应的模态截断阶数。

In the framework of non-equilibrium elastoplastic mechanics, the classic finite element method is extended to the analysis for post-failure state of structure, where the plastic complementary energy norm serves as the criterion of global stability while the unbalanced force and its development indicates the pattern and path of destruction.

在非平衡态弹塑性力学框架下，将经典有限元拓展到结构失稳后的分析，塑性余能范数即可作为库群失稳判据，而不平衡力及其发展则表征了库群失稳破坏的形态和演化路径。

The model as follows:〓 u =0,∈〓Ω×J u =u〓, x∈Ω chapter 3 is devoted to study the moving grid timediscretization FEM of above model, the optimal energy norm error estimate is obtained.

本文第二章重点研究了上述模型有限元算法的构造及收敛性，克服了ρ同时依赖压力p、浓度c带来的困难，证明了有限元半离散解的整体存在性和最优误差估计。

The adaptive program is calculated by T-B stress recovery scheme and z-z error estimation, the error is estimated by energy norm of difference of recovery stress and meshless stress. If the local relative error exceeds the limit relative error, then new nodes will be generated at the high error area.

本研究的自适应方法采用TB应力平滑技术和Z-Z误差估计，利用平滑应力和无网格法所得应力解差值的能量范数来估算误差，如果局部相对误差超过了允许误差，则在高误差域插入新的离散点进行加密。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新